Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. |
Inni boken
Resultat 1-5 av 5
Side 8
In any plane triangle , it will be , as the sum of any two sides is to their difference ,
so is the tangent of half the sum of the two opposite angles , to the tangent of balf
their difference . T C For , let ABC be the triangle , and AB and AC the А. two ...
In any plane triangle , it will be , as the sum of any two sides is to their difference ,
so is the tangent of half the sum of the two opposite angles , to the tangent of balf
their difference . T C For , let ABC be the triangle , and AB and AC the А. two ...
Side 11
which addrd to 2 ang Cop . and ABCC , and the sum subtracted from to one of '
em , 18ogives theother angleABC Two sides The other Let the angle ABC he
found , AB , BC and side AC by the preceding case , and 3 an opp . anthen it will
be ...
which addrd to 2 ang Cop . and ABCC , and the sum subtracted from to one of '
em , 18ogives theother angleABC Two sides The other Let the angle ABC he
found , AB , BC and side AC by the preceding case , and 3 an opp . anthen it will
be ...
Side 30
For ( CEF being as in the last ) it will be , as radius : sine CE :: tang . C : tang . EF (
by Theorem 4. ) that is , radius : co - line AC :: tang . C : cotang . A. Q : E. D. 1 '
LEMMA As the sum of the fines of two unequal arches is to their difference , so ...
For ( CEF being as in the last ) it will be , as radius : sine CE :: tang . C : tang . EF (
by Theorem 4. ) that is , radius : co - line AC :: tang . C : cotang . A. Q : E. D. 1 '
LEMMA As the sum of the fines of two unequal arches is to their difference , so ...
Side 49
Let A , B and C denote any three numbers in arithmetical progression , not less
than 10000 each , whereof the common difference is 100 . 2. From twice the
logarithm of B , subtract the sum of the logarithms of A and C , and let the
remainder be ...
Let A , B and C denote any three numbers in arithmetical progression , not less
than 10000 each , whereof the common difference is 100 . 2. From twice the
logarithm of B , subtract the sum of the logarithms of A and C , and let the
remainder be ...
Side 58
Thus , for instance , let BA be an arch greater than go ' , and let the tangent of the
sum of AB and AC be required ; B fupposing T to represent the tangent of AD (
the supplement of AB ) and t the tangent of AC : then , by writing T instead of T , in
...
Thus , for instance , let BA be an arch greater than go ' , and let the tangent of the
sum of AB and AC be required ; B fupposing T to represent the tangent of AD (
the supplement of AB ) and t the tangent of AC : then , by writing T instead of T , in
...
Hva folk mener - Skriv en omtale
Vi har ikke funnet noen omtaler på noen av de vanlige stedene.
Andre utgaver - Vis alle
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1748 |
Trigonometry, Plane and Spherical;: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1765 |
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1799 |
Vanlige uttrykk og setninger
added alſo appears arch balf baſe becauſe called caſe chord circle co-f co-fine AC co-tang common complement conſequently COROL COROLLARY demonſtrated determine diameter difference divided drawn Edition equal equal to half evident exceſs extremes fame fides fine fines firſt follows given gives gles great-circles greater half the difference half the ſum Hence hyperbolic logarithm hypothenuſe known laſt logarithm manifeſt meeting method minute Moreover natural Note oppoſite parallel perpendicular plane triangle ABC preceding PROP proportion propoſed radius reſpectively ſame ſecant ſee ſeries ſhall ſides ſince ſine ſum ſuppoſed tang tangent of half Tbeor Theor THEOREM thereof theſe thoſe unity verſed vertical angle whence
Bibliografisk informasjon
| Tittel | Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. Eighteenth century collections online |
| Forfatter | Thomas Simpson |
| Utgave | 5 |
| Utgiver | F. Wingrave, successor to Mr. Nourse, 1799 |
| Original fra | The British Library |
| Digitalisert | 30. sep 2016 |
| Lengde | 79 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |